In ΔFGH, f = 7.2 cm, g = 1.2 cm and h=6.6 cm. Find the area of ΔFGH to the nearest 10th of a square centimeter.

9514 1404 393

  3.6 cm²

Step-by-step explanation:

Heron's formula is usually used for calculating triangle area from side lengths.

The semiperimeter is ...

  s = (7.2 +1.2 +6.6)/2 = 7.5

Then the area is ...

  A = √(s(s -f)(s -g)(s -h)) = √(7.5(0.3)(6.3)(0.9)) = √12.7575

  A ≈ 3.57176 cm²

The area of ΔFGH is about 3.6 square centimeters.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.